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3 years ago

Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning

Mathematics

1 answer:

aalyn [17]3 years ago

7 0

To flip any of the points to map up correctly to the other points, you would have to do a reflection over the y-axis. The reasoning for this is because you cannot dilate your shape because it won't map over correctly. A translation will not work, mainly because the shape still needs to flip. A rotation will also not work because when you rotate it, the shape will still not map over your new one.

-So your answer to this question would be that only a Reflection over the y-axis will allow the two shapes to map over each other correctly.

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Does anyone know what the answer is..?

Leno4ka [110]

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3 years ago

What is the d value of the following arithmetic sequence? 5, 2, -1, -4, -7,…

Andrew [12]

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3 years ago

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The sum a 8 and a number h is 12

Artyom0805 [142]

H would equal to 4 (8+4=12)

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2 years ago

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The ratio of enlisted men to officers in a division is 25 to 1.

9966 [12]

The answer is 40.

1000/25 will give you the new ratio

Simple way of thinking about it

25 enlisted men = 1 officer
1000enlisted men = X officer

Cross multiply (25 by X officer and the 1 officer by the 1000)

25x = 1000

X= 40.

7 0

2 years ago

A cookie company packages its cookies in rectangular prism boxes designed with square bases that have both a length and width of

Verdich [7]

Answer:

length and width=4

height=8

Step-by-step explanation:

Hello to solve this problem we must propose a system of equations of 3x3, that is to say 3 variables and 3 equations.

Ecuation 1

Leght=Width

.L=W

Ecuation 2

To raise the second equation we consider that the length and width of 4 inches less than the height of the box

H-4=W

Ecuation 3

To establish equation number 3, we find the volume of a prism that is the result of multiplying length, width, and height

LxWxH=128

From ecuation 1(w=h)

$HW^2=128$

solving for H

$H=\frac{128}{W^2}$

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<em>Using ecuation 2</em>

H-4=W

$\frac{128}{W^2}-4=W\\W^3+4W^2-128=0$

Now we find the roots of the equation, 2 of them are imaginary, and only one results in 4

W=4in

L=4in

to find the height we use the ecuation 2

H-4=W

H=4+W

H=4+4=8

H=8IN

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3 years ago